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Use-case diagrams are a common method for a business analyst to visualize complex interactions within the requirements because they provide a clear representation of the interactions between users (actors) and the system. This method helps to outline the functional requirements of a system by depicting the various scenarios in which users interact with different parts of the system.

Use-case diagrams focus on what the system should do from the user's perspective, making it easier to identify and capture requirements. They show the system boundaries, the external entities that interact with the system, and the specific use cases, which represent the goals or tasks that users want to achieve. This visual representation aids in facilitating discussions with stakeholders, as it offers an accessible way to understand system functionalities.

In contrast, flowcharts primarily illustrate processes and workflows but may not provide the level of detail related to actor-system interactions that use-case diagrams do. Spreadsheet models serve to organize and analyze data but aren't typically used for visualizing interactions. Pareto charts, on the other hand, are useful for identifying the most significant factors in a dataset but do not depict interactions within system requirements.